Jul 24, 2024  
2022-2023 Catalog 
2022-2023 Catalog [ARCHIVED CATALOG]

MATH 122 - Applied Technical Mathematics

PREREQUISITES: Demonstrated competency at the MATH 122 level.
PROGRAM: Liberal Arts

This course is designed to help students develop mathematical reasoning and real-world skills in analyzing verbal and written descriptions, translating them into algebraic, geometric, trigonometric and statistical statements and applying them to solve problems in fabrication, manufacturing, and business. The course will include at least six lab activities or projects to allow faculty and students to apply mathematics principles to work- related situations.

MAJOR COURSE LEARNING OBJECTIVES: Upon successful completion of this course the student will be expected to:

  1. Geometry: Upon completion, students will be able to complete the following:
    1. Calculate and use perimeter, area, volume, and surface area to find same or unknown measures of parts.
    2. Graph linear equations in two dimensions, calculate and apply slope of a line.
    3. Identify the parts of a circle including diameter, radius, circumference, sectors and segments and to calculate the area of circles. Calculate volumes of regular cylinders.
    4. Perform common constructions using a straightedge and compass.
    5. Find angles of a regular polygon.
    6. Find the measures of complementary, supplementary, vertical, interior, exterior, and corresponding angles and calculate the sum of the measures of the interior angles of polygons.
    7. Use proportion as applied to similar figures.
    8. Apply the Pythagorean Theorem.
  2. Trigonometry: Upon completion, students be able to complete the following:
    1. Determine the sine, cosine and tangent of angles in right triangles from direct measurement of lengths of sides
    2. Utilize the Law of Sines and Law of Cosines to solve for unknown sides and angles in triangles.
    3. Determine angle (degree/minute/seconds, radians) measures using inverse Trigonometric functions
  3. Conversion: Upon completion, students will be able to complete the following:
    1. Recognize and operate within and between different measurement systems including dimensional analysis.
  4. Statistics: Upon completion, students will be able to complete the following:
    1. Use measures of central tendency and normal distributions to estimate and validate statistical measures in the workplace.
    2. Use tables, charts, and graphs in applications common to the workplace.
  5. Algebra: Upon completion, student will be able to complete the following:
    1. Recognize, set up and solve application problems using direct and inverse proportionality.
    2. Solve a variety of real-life application problems using algebraic, geometric, trigonometric and statistical formulas by solving equations in one variable.
    3. Solve formulas for any variable.
  6. Math Related Job Skills: Upon completion, students will be able to complete the following:
    1. Translate verbal and written descriptions into mathematical statements that solve real-world problems.
    2. Estimate and calculate values for fabricating, manufacturing and business examples.
    3. Use a scientific calculator proficiently as related to coursework.

COURSE CONTENT: Topical areas of study include -  

  • Real-world problems
  • Algebraic concepts
  • Hands-on demonstrations
  • Geometric concepts
  • Translation of verbal and written descriptions
  • Trigonometric concepts
  • Student lab activities
  • Statistical concepts

Course Addendum - Syllabus (Click to expand)